You know what is really odd? This question? There is no even or odd when 0 is neutral. Therefore it is both and then nothing so really it is all or nothing. That is how you make numerals by the Zero. Like there are only 9 numbers and the 0 makes more out of the original 9 by being neither and just neutral. Now is that even enough for you?

zero is not a number, and cannot be either even or odd. zero stands for nothing, and so neither is nor isn't. there is no such thing as non-existence, and it is impossible to quantify something that does not exist.

to clarify: there is no such thing as non-existence, because if there were such thing, then it would exist...and non-existence cannot exist, obviously. Right?